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Finding the Fourth Proportional to 12,380.79, 18,580.37 and 7,707.59

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Solution

The fourth proportional to 12,380.79, 18,580.37 and 7,707.59 is: 11,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.79 : 18,580.37 = 7,707.59 : x
  2. Step 2: Convert to fraction form
    12,380.79/18,580.37 = 7,707.59/x
  3. Step 3: Cross multiply
    12,380.79x = 18,580.37 × 7,707.59
  4. Step 4: Simplify right side
    12,380.79x = 143,209,874.01
  5. Step 5: Solve for x
    x = 143,209,874.01/12,380.79
  6. Step 6: Final answer
    x = 11,567.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.